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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    The length of a rectangular garden is 12 m and its breadth is 5 m. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden

    A)  \[2\sqrt{30}\,\,m\]

    B)  \[\sqrt{13}\,\,m\]

    C)  \[13\,\,m\]                    

    D)  \[8\sqrt{15}\,\,m\]

    Correct Answer: A

    Solution :

    Area of the rectangular garden \[=12\times 5=60\,\,{{m}^{2}}\]= Area of the square garden \[\therefore \]Side of the square garden \[=\sqrt{60}\,\,{{m}^{2}}\] \[\therefore \]Diagonal of the square garden\[=\sqrt{2}\times \text{side}\]             \[=\sqrt{2}\times \sqrt{60}=\sqrt{120}=\sqrt{4\times 30}=2\sqrt{30}\,\,\text{m}\]                        


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